【作者】 胡启平； 王燕杰；

【Author】 HU Qi-ping;WANG Yan-jie;College of Civil Engineering, Hebei University of Engineering;

【机构】 河北工程大学力学实验教学示范中心；

【摘要】 考虑梁弯曲时的剪切变形以及扭转时的二次剪切变形影响,从哈密顿力学出发,用梁截面剪心沿y轴方向的位移、断面绕x轴的转角、扭角以及翘曲函数共四个广义位移作为基本未知函数,推导得出薄壁曲线箱梁弯扭分析的拉格朗日函数,由勒让德变换引入哈密顿对偶变量,建立薄壁曲线箱型截面梁弯扭分析的哈密顿对偶体系。采用精细积分法求该体系的高精度数值解,进而获得曲线箱梁的内力与变形,最后结合算例与文献方法进行对比分析。更多还原

【Abstract】 In order to provide reference for design of thin walled curved box girder, considering the influence of beam with the shear deformation of bending and the secondary shear deformation of torsion, starting from Hamiltonian mechanics, the displacement of the direction along the y axis of the shear section of the beam section, the corners of the section along x axis, the torsional angle and the warping displacement function were used as unknown function, the Lagrange function for bending-torsional coupling analysis of thin walled curved box girder were exported. The dual variables of Hamilton were obtained by Legendre transformation, the Hamilton dual system for bending-torsional coupling analysis of thin walled curved box girder was derived. High precision numerical solutions of the system were solved by precise integration method and then the internal force and displacement of the thin walled curved box girder could be calculated. Finally, with the example for calculation, the comparative analysis with the results of other methods was carried out, the results show that this suggested method has strong applicability and high-precision and the method is easy to calculate, which can be used for the calculation of thin walled curved box girder conveniently.更多还原